# Quadratic Equation Class 10 Maths – Chapter 4

Quadratic Equation Class 10 Maths, deals with various concepts which are as under:-

• Solution of a Quadratic Equation by Factorisation
• Solution of a Quadratic Equation by Completing the Square
• Nature of Root

### What are quadratic equation and examples

Quadratic equation is the equation in which the highest power of the variable is 2.
For example: ax²+bx+c=0

A)(x-1)²=3(x+2)

B)(x-1)³=x(x+1)²

#### Write a Quadratic equation from a Statement

A.The product of two consecutive positive integers is 210. We need to find the integers?

B.The area of a rectangle is 90m². The length of the rectangle is 3 more than the twice of the breadth. We need to find the length and breadth of the rectangle?

### 2. Solution of a Quadratic Equation by Factorisation – Quadratic Equation Class 10

• Solving Quadratic Equations by factoring

### Nature of roots of quadratic equations

The nature of  roots depends on the value of b²-4ac
So if b²-4ac=0 then both the roots are real and equal.
If b²-4ac<0 then roots are not real.
If b²-4ac>0 then roots are distinct and real.